Answer :
[tex]2 \sqrt{6} + 3 \sqrt{96} [/tex]
First break down 96 into the smaller factors of 6 and 16
[tex]2 \sqrt{6} + 3 \sqrt{16*6} [/tex]
Now the square root of 16 comes out even as 4 so you can evaluate that part.
[tex]2 \sqrt{6} + (3 * 4) \sqrt{6} [/tex]
Multiply 3 and 4 to get 12
[tex]2 \sqrt{6} + 12 \sqrt{6} [/tex]
And now that the square roots on both parts of the eqations are the same you can add them to get: [tex]14 \sqrt{6} [/tex]
Therefore your answer is a
First break down 96 into the smaller factors of 6 and 16
[tex]2 \sqrt{6} + 3 \sqrt{16*6} [/tex]
Now the square root of 16 comes out even as 4 so you can evaluate that part.
[tex]2 \sqrt{6} + (3 * 4) \sqrt{6} [/tex]
Multiply 3 and 4 to get 12
[tex]2 \sqrt{6} + 12 \sqrt{6} [/tex]
And now that the square roots on both parts of the eqations are the same you can add them to get: [tex]14 \sqrt{6} [/tex]
Therefore your answer is a
